Extensions 1→N→G→Q→1 with N=C4 and Q=C29:C4

Direct product G=NxQ with N=C4 and Q=C29:C4
dρLabelID
C4xC29:C41164C4xC29:C4464,30

Semidirect products G=N:Q with N=C4 and Q=C29:C4
extensionφ:Q→Aut NdρLabelID
C4:(C29:C4) = C116:C4φ: C29:C4/D29C2 ⊆ Aut C41164C4:(C29:C4)464,31

Non-split extensions G=N.Q with N=C4 and Q=C29:C4
extensionφ:Q→Aut NdρLabelID
C4.(C29:C4) = C116.C4φ: C29:C4/D29C2 ⊆ Aut C42324C4.(C29:C4)464,29
C4.2(C29:C4) = C29:C16central extension (φ=1)4644C4.2(C29:C4)464,3
C4.3(C29:C4) = D29:C8central extension (φ=1)2324C4.3(C29:C4)464,28

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